Tesla C1060 not seen by Blender after install
Your card is not supported. It has a CUDA compute capability 1.3. Support for cards with compute capability less than 2.0 was dropped a few versions ago.
Quoting from the Blender manual:

CUDA
Nvidia CUDA is supported for GPU rendering with Nvidia graphics cards. We support graphics cards starting from GTX 4xx (computing capability 2.0).